Any time speedy the sloth is not sleeping, she drinks chamomile tea at a steady rate of 2/7 of a cup per hour. yesterday, she drank 1 cup. if today she drank 17/42 of a cup more than yesterday, how long (in minutes) did she stay awake today?

295 minutes

Step-by-step explanation:

It is given that Speedy the Sloth drinks tea at a steady rate of 2/7 cups per hour.

Yesterday she drank 1 cup and today she drank 17/42 of a cup more than yesterday. This means today she drank 1 + 17/42 cups.

Time taken to drink 2/7 of a cup = 1 hour = 60 minutes

Time taken to drink 1 cup = minutes

Time taken to drink 1+17/42 cups = minutes

Since she drinks tea as long as she stay awakes. This means, she stayed awake for 295 minutes today.

10 down (bang1)

5 up

5down (2)

2.5 up

2.5 down (3)

1.25 up

1.25 down (4)

now add them up : )

hoped i lol

answer would be 8.64 or s = 11π/4 inches

step-by-step explanation:

s = r θ  

where s = arc length  

r = radius = 3 inches  

θ = central angle in radians = ( π /180)*165  

s = 3(π/180)*165  

= 8.64 inches